Finite Group Databasebeta

← Group #80809

Character table — Group #80809

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size111122222244444444666666668888888888121212121616161624242424
order1222344666248888121222448888244461224242424248861212122244
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-111-1-11-11-1
χ6111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-11-11
χ7111111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-11-11
χ8111111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1111-11-1
χ91111111111-1-111-1-111111111111-11-1-1-111-1-1-1-1-1-11-11-11-1-11
χ101111111111-1-111-1-11111111111-11-11-1-111-1-1-1-1-1-1-11-11-111-1
χ111111111111-1-111-1-111-1-1-1-1-1-1-1-11-11-1-1-111-1-111111-11-1-111-1
χ121111111111-1-111-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-11-111-1-11
χ131111111111-1-1-1-111111111-1-1-1-11-1-11-1-1-1-111-1-1111-1-1111-1-1
χ141111111111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-111-1-111-111-1-1-111
χ151111111111-1-1-1-11111-1-1-1-111111-1-11-1-1-1-11111-1-11-1-11-1-111
χ161111111111-1-1-1-11111-1-1-1-11111-111-1-1-1-1-11111-1-1-111-111-1-1
χ1722222-2-22222-20000-2-222-2-2000000002-20000-220000000000
χ1822222-2-22222-20000-2-2-2-222000000002-200002-20000000000
χ1922222-2-2222-220000-2-222-2-200000000-2200002-20000000000
χ2022222-2-2222-220000-2-2-2-22200000000-220000-220000000000
χ212222-122-1-1-1222222-1-1000000002222-1-1-1-1-1-10000-1-1-1-10000
χ222222-122-1-1-1222222-1-100000000-2-2-2-2-1-1-1-1-1-1000011110000
χ232222-122-1-1-122-2-2-2-2-1-10000000022-2-2-1-111110000-1-1110000
χ242222-122-1-1-122-2-2-2-2-1-100000000-2-222-1-11111000011-1-10000
χ252222-122-1-1-1-2-222-2-2-1-1000000002-22-211-1-1110000-11-110000
χ262222-122-1-1-1-2-222-2-2-1-100000000-22-2211-1-11100001-11-10000
χ272222-122-1-1-1-2-2-2-222-1-1000000002-2-221111-1-10000-111-10000
χ282222-122-1-1-1-2-2-2-222-1-100000000-222-21111-1-100001-1-110000
χ292-22-222-2-22-2002i−2i002-22-22-22i2i−2i−2i0000002i−2i00000000000000
χ302-22-222-2-22-2002i−2i002-2-22-22−2i−2i2i2i0000002i−2i00000000000000
χ312-22-222-2-22-200−2i2i002-22-22-2−2i−2i2i2i000000−2i2i00000000000000
χ322-22-222-2-22-200−2i2i002-2-22-222i2i−2i−2i000000−2i2i00000000000000
χ332-22-22-22-22-200002-2-222-2-220000000000002-2002-200000000
χ342-22-22-22-22-200002-2-22-222-20000000000002-200-2200000000
χ352-22-22-22-22-20000-22-222-2-22000000000000-2200-2200000000
χ362-22-22-22-22-20000-22-22-222-2000000000000-22002-200000000
χ374444-2-4-4-2-2-24-4000022000000000000-220000000000000000
χ384444-2-4-4-2-2-2-440000220000000000002-20000000000000000
χ3944-4-44004-4-40000000000002i2−2i22i2−2i20000000000000000000000
χ4044-4-44004-4-4000000000000−2i22i2−2i22i20000000000000000000000
χ414-44-4-24-42-22004i−4i00-2200000000000000−2i2i00000000000000
χ424-44-4-24-42-2200−4i4i00-22000000000000002i−2i00000000000000
χ434-44-4-2-442-2200004-42-20000000000000000-22000000000000
χ444-44-4-2-442-220000-442-200000000000000002-2000000000000
χ454-4-44400-4-4400000000000022−22−22220000000000000000000000
χ464-4-44400-4-44000000000000−222222−220000000000000000000000
χ4788-8-8-400-44400000000000000000000000000000000000000
χ488-8-88-40044-400000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).